Question

If a2 + b2 = 9 and ab = 4.
Find the value of 3(a + b)2 – 2(a - b)?​

Answer 1

There are two formulas of a^2+b^2 . On applying both we can find the required values and solve the problem. Refer to the image attached.

Answer 2

Step-by-step explanation:

a ²+ b² =9

ab= 4

(a+b)²=a²+b²+2.a.b

=> 9+2×4

=>17

(a-b)² = a²+b²-2.a.b

=> 9-2×4

=> 1

3(a+b)² - 2(a-b)²

=>3×17 - 2×1

=>51 - 2

=> 49

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